The order-preserving partial transformation semigroup
Generating the full transformation semigroup using order preserving mappings
... a semigroup S, the ‘classical’ idea of rank is concerned with finding minimum size generating sets for S; see [6] or ...generated semigroup S determining the rank of S, denoted rank(S), is a natural ...
10
A case of non-identity difference order preserving transformation semigroup
... the transformation, except for a particular case of n = 3, ID𝒪 ̅̅̅̅̅̅ 3 form a three elements semigroup S̅ with some unique properties studied ...The semigroup S̅ provides us result which can be seen ...
8
Some algebraic properties of order-preserving full contraction transformation semigroup
... the semigroup theory. The importance of mappings in semigroup theory can be judged by the fact that every semigroup is isomorphic to a semigroup of map- pings in this sense it turns out that ...
8
Dissipative Properties of ω Order Preserving Partial Contraction Mapping in Semigroup of Linear Operator
... Akinola Yussuff Akinyele, Kamilu Rauf * , Aasa Moses Adebowale, Omosowon Jude Babatunde Department of Mathematics, University of Ilorin, Ilorin, Nigeria Abstract This paper consists of dissipative properties and results ...
7
POPE: Partial Order Preserving Encoding
... In order to support high availability, low cost, and massive scal- ability, these databases are increasingly stored on remote and po- tentially untrusted servers, driving the need to secure the stored ...
12
Some combinatorial results on Green's relation of partial injective transformation semigroup
... A Semigroup is an algebraic structure consisting of a nonempty set S together with an associative binary ...A transformation on X is a function from X to itself. Transformation semigroups are one of ...
6
On log concavity for order preserving and order non reversing maps of partial orders
... The Warwick Research Archive Portal (WRAP) makes this work by researchers of the University of Warwick available open access under the following conditions.. Copyright © and all moral [r] ...
10
Properties of the Transformation Semigroup of the Solitaire Stream Cipher
... were not published in open .literature In this paper we describe groups , and . We prove that the group is an intransitive group and describe its orbits. We get that , are ...
14
On the ranks of certain semigroups of order-preserving partial isometries of a finite chain
... some of its subsemigroups have been well studied and its algebraic and combinatorial properties were investigated over the years. Some of these interesting results can be found in [7, 10, 11, 14, 15]. The study of ...
19
On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations
... the semigroup T n of all total transformations of a given n-element set X n is covered by its inverse ...of order-preserving transformations on a finite chain X n is a semilattice of idempotents, and ...
10
Privacy Preserving Clustering by Data Transformation
... data transformation methods (GDTMs) that distort confidential numerical attributes in order to meet privacy protection in clustering ...geometric transformation of digital images, notably the idea ...
15
Nilpotent subsemigroups of a semigroup of order-decreasing transformations of a rooted tree
... a transformation of T belongs to S 2 if and only if its domain has empty intersection with the next to the last block of the partition λ; and S 2 is a maximal nilpotent subsemigroup of nilpotency class k 0 with a ...
15
Collaboration Preserving Authenticated Encryption for Operational Transformation Systems
... 3.1 Correspondence between the STCE Model and Google Docs Google Docs fits directly into our STCE model. Its server acts as the coordinator C and each collaborator session can be viewed as a site. Google Docs is a web ...
16
Privacy Preserving Clustering by Hybrid Data Transformation Approach
... Due to the astounding growth rate of data collection, the computerized data all over the world is doubling every 20 months [1]. Fast analysis and extraction of useful knowledge from gigantic databases is a major ...
5
A Domain Transformation for Structure-Preserving Signatures on Group Elements
... However, while asymptotically efficient, a signature in Groth’s scheme requires as confirmed by the author himself [Gro07] “thousands if not millions of group elements” per signature, so it is mainly of theoretical ...
28
Privacy Preserving Clustering Based on Discrete Cosine Transformation
... Privacy preserving data mining which is a new research area has been evolved in order to find the right balance between maximizing analysis results and minimizing the disclosure of private ...Cosine ...
7
Structure-preserving variational schemes for fourth order nonlinear partial differential equations with a Wasserstein gradient flow structure
... 4 Minimising Movement Schemes of Higher Order of Accu- racy The aim is to extend the minimising movement schemes (3) from the implicit Euler case to higher order/stage cases, e.g. backward difference ...
143
Combinatorics of partial wreath power of finite inverse symmetric semigroup \(\mathcal{IS}_d\)
... Yevgeniya Kochubinska Communicated by A. P. Petravchuk Abstract. We study some combinatorial properties of ≀ k p IS d . In particular, we calculate its order, the number of idempotents and the number of D-classes. ...
12
An Ideal-Security Protocol for Order-Preserving Encoding
... mOPE’s order-preserving encodings are relatively stable, and do not change often as new values are ...our transformation summaries) and when the ciphertexts are not ...
15
A Lie Theoretic Approach to the Full Transformation Semigroup.
... linear transformation semigroups . We know that a semigroup is a group with out the inverse and the identity ...a semigroup with the identity, and the group is a monoid has inverse for each ...
82